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PLEASE HELP, TIMED FINAL
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically are shown in the table.



Which represents the solution(s) of this system of equations?

(–3, –1)
(–3, 5)
(–3, 5) and (–1, 9)
(1, 13) and (3, 20)

PLEASE HELP TIMED FINAL The first three steps in determining the solution set of the system of equations y x2 2x 8 and y 2x 11 algebraically are shown in the ta class=

Respuesta :

Following on from step 3

0 = (x + 1)(x + 3)

equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 3 = 0 ⇒ x = - 3

Substitute these values into either of the 2 equations for the corresponding value of y

using y = 2x + 11

x = - 1 : y = - 2 + 11 = 9 ⇒ (- 1, 9 )

x = - 3 : y = - 6 + 11 = 5 ⇒ (- 3, 5 )

solutions are (- 3, 5 ) and (- 1, 9 )


sincerelynini

(-3, 5) AND (-1, 9)

This is right! I took the edge final, and this was the correct answer! You can also figure out the answer by typing the two equations into a graphing calculator.

I hope this helps!

- sincerelynini